Least Common Multiple of 5983 and 5990
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5983 and 5990 the smallest integer that is 35838170 that is divisible by both numbers.
Least Common Multiple (LCM) of 5983 and 5990 is 35838170.
LCM(5983,5990) = 35838170
LCM of 5983 and 5990
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5983 and 5990 by Prime method
- Least Common Multiple of 5983 and 5990 with GCF Formula
LCM of 5983 and 5990 is 35838170
Least common multiple can be found by multiplying the highest exponent prime factors of 5983 and 5990. First we will calculate the prime factors of 5983 and 5990.
Prime Factorization of 5983
| 31 | 5983 |
| 193 | 193 |
| 1 |
Prime factors of 5983 are 31,193. Prime factorization of 5983 in exponential form is:
5983 = 311×1931
Prime Factorization of 5990
| 2 | 5990 |
| 5 | 2995 |
| 599 | 599 |
| 1 |
Prime factors of 5990 are 2, 5,599. Prime factorization of 5990 in exponential form is:
5990 = 21×51×5991
Now multiplying the highest exponent prime factors to calculate the LCM of 5983 and 5990.
LCM(5983,5990) = 21×51×311×1931×5991
LCM(5983,5990) = 35838170
Factors of 5983
List of positive integer factors of 5983 that divides 5983 without a remainder.
1, 31, 193, 5983
Factors of 5990
List of positive integer factors of 5990 that divides 5990 without a remainder.
1, 2, 5, 10, 599, 1198, 2995, 5990
Least Common Multiple of 5983 and 5990 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5983 and 5990, than apply into the LCM equation.
GCF(5983,5990) = 1
LCM(5983,5990) = ( 5983 × 5990) / 1
LCM(5983,5990) = 35838170 / 1
LCM(5983,5990) = 35838170
Properties of LCM 5983 and 5990
(i) The LCM of 5990 and 5983 is associative
LCM of 5983 and 5990 = LCM of 5990 and 5983
Related Least Common Multiples of 5983
Related Least Common Multiples of 5990
Frequently Asked Questions on LCM of 5983 and 5990
1. What is the LCM of 5983 and 5990?
Answer: LCM of 5983 and 5990 is 35838170.
2. What are the Factors of 5983?
Answer: Factors of 5983 are 1, 31, 193, 5983. There are 4 integers that are factors of 5983. The greatest factor of 5983 is 5983.
3. What are the Factors of 5990?
Answer: Factors of 5990 are 1, 2, 5, 10, 599, 1198, 2995, 5990. There are 8 integers that are factors of 5990. The greatest factor of 5990 is 5990.
4. How to Find the LCM of 5983 and 5990?
Answer:
Least Common Multiple of 5983 and 5990 = 35838170
Step 1: Find the prime factorization of 5983
5983 = 31 x 193
Step 2: Find the prime factorization of 5990
5990 = 2 x 5 x 599
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 35838170 = 2 x 5 x 31 x 193 x 599
Step 4: Therefore, the least common multiple of 5983 and 5990 is 35838170.